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Finding the Fourth Proportional to 19,141.68, 28,719.84 and 7,463.04

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Solution

The fourth proportional to 19,141.68, 28,719.84 and 7,463.04 is: 11,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.68 : 28,719.84 = 7,463.04 : x
  2. Step 2: Convert to fraction form
    19,141.68/28,719.84 = 7,463.04/x
  3. Step 3: Cross multiply
    19,141.68x = 28,719.84 × 7,463.04
  4. Step 4: Simplify right side
    19,141.68x = 214,337,314.71
  5. Step 5: Solve for x
    x = 214,337,314.71/19,141.68
  6. Step 6: Final answer
    x = 11,197.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.